The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source, i.e. ut = uxx +cux +R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl. 279 (2003) 168–179].
M.S. Hashemi, M.C. Nucci (2013). Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 20(1), 44-60 [10.1080/14029251.2013.792469].
Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations
M.C. Nucci
2013
Abstract
The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source, i.e. ut = uxx +cux +R(u, x). Several cases are obtained by using suitable solutions of the heir-equations as described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl. 279 (2003) 168–179].File in questo prodotto:
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